Finding the Third Proportional to 823,865 and 1,780,978

Step by Step Solution

1. Step 1: Write the proportion equation
   823,865 : 1,780,978 = 1,780,978 : x
2. Step 2: Convert to fraction form
   823,865/1,780,978 = 1,780,978/x
3. Step 3: Cross multiply
   823,865x = 1,780,978 × 1,780,978
4. Step 4: Simplify right side
   823,865x = 3,171,882,636,484
5. Step 5: Solve for x
   x = 3,171,882,636,484/823,865
6. Step 6: Final answer
   x = 3,850,002.90